Problem

3.) Solve by using the substitution method. Write your answer as an ordered pair. \[ \begin{array}{l} x+3 y=8 \\ y=2 x-9 \end{array} \] answer:

Solution

Step 1 :First, substitute \(y\) from the second equation into the first equation. This gives the equation \(x + 3(2x - 9) = 8\).

Step 2 :Simplify the equation to get \(7x - 27 = 8\).

Step 3 :Solve this equation for \(x\) to get \(x = 5\).

Step 4 :Substitute \(x = 5\) back into the second equation \(y = 2x - 9\).

Step 5 :Solve for \(y\) to get \(y = 1\).

Step 6 :The solution to the system of equations is the ordered pair \(\boxed{(5, 1)}\).

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Source: https://solvelyapp.com/problems/0bJ0vzFOQz/

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